Coleman went 5-of-6 from the field while Carter-Williams supplied 11 points, 11 assists, seven rebounds and three steals as the Orange (6-0) stretched their non-conference home winning streak to 26 games.
Brandon Triche (12 points) and Jerami Grant and Trevor Cooney (11 each) also reached double figures in the comfortable victory.
The Eagles (5-2) got a combined 34 points from Derek Thompson and Glenn Bryant but shot only 30 percent from the field en route to the loss.
Exploding whale video goes viral on Internet
Benedict Cumberbatch's dramatic reading of R. Kelly lyrics is just what you need